We give an elementary construction of the solutions of the KP hierarchy associated with polynomial τ-functions starting with a geometric approach to soliton equations based on the concept of a bi-Hamiltonian system. As a consequence, we establish a Wronskian formula for the polynomial τ-functions of the KP hierarchy. This formula, known in the literature, is obtained very directly.
Falqui, G., Magri, F., Pedroni, M., Subelli, K. (2000). An elementary approach to the polynomial τ-functions of the KP hierarchy. THEORETICAL AND MATHEMATICAL PHYSICS, 122(1), 17-28 [10.1007/BF02551166].
An elementary approach to the polynomial τ-functions of the KP hierarchy
FALQUI, GREGORIO;MAGRI, FRANCO;
2000
Abstract
We give an elementary construction of the solutions of the KP hierarchy associated with polynomial τ-functions starting with a geometric approach to soliton equations based on the concept of a bi-Hamiltonian system. As a consequence, we establish a Wronskian formula for the polynomial τ-functions of the KP hierarchy. This formula, known in the literature, is obtained very directly.
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